A leader-follower control strategy for input-delay stochastic systems

• Main Authors: Kong, S. (Author), Yu, X. (Author)
• Format: Article
• Language: English
• Published: Institute of Electrical and Electronics Engineers Inc. 2022
• Subjects: Control problems; Control strategies; Control theory; Delay; Delays; Dynamics; Game; Games; Input delay; Input delays; Leader follower controls; Leader-follower control; Open loop control; Open-loop; Open-loop control; Optimal control; Optimal controls; Optimal problems; Problem-based; Random processes; Riccati equations; Stochastic control systems; Stochastic processes; Stochastic systems
• Online Access: View Fulltext in Publisher
• ISBN: 21693536 (ISSN)
• DOI: 10.1109/ACCESS.2022.3165073

This paper designs an optimal open-loop leader-follower control strategy of input-delay stochastic systems. The leader-follower control problem is described as an optimal problem based on Stackelberg strategies. A control strategy of the leader is given to minimize the function of H2 norm, while a control strategy of the follower in worst case maximizing the function of H∞ norm is applied to the systems. Then the optimal leader-follower control strategy is obtained by establishing the information relationship of the forward and the backward variables with augmentation of the variables and solving several Riccati equations. At last, an example illustrates the effectiveness of the proposed strategy. Author